Comparing & Ordering Integers

Objective• Content Objective: We will compare and

order integers. We will communicate mathematical ideas using graphical models.

• Why learn this: We use positive and negative numbers to measure temperature, height (as in above and below sea level), money, and more. We use absolute value to determine the distance from a point, without regard to the direction we are moving from that point.

Vocabulary

• integers: all positive whole numbers, their opposites, and zero.

• opposites: two numbers that are the same distance from zero on the number line, but in opposite directions. Ex. 2, -2

• absolute value: a number’s distance from zero on the number line (always a positive value).

Finding Absolute Value

Find the l3l and l-3l.

l3l and l-3l = 3

Quick Practice

Write the opposite of each number. a)2 b) 4 c) -3 d) -11

a) -2 b) -4 c) 3 d) 11

Quick Practice

Find each absolute value.

a)l-21l b)l14l c) l-1l d)l21l

a) 21 b)14 c) 1 d)21

Comparing Integers

Compare -4 and 1 using <, =, or >.

Remember, numbers increase going from left to right.

-4 < 1

Quick Practice

Which number in the pair is farther away from zero.

a) 4, -5 b) 2, 5 c) -1, -3 d) -12, 11 a) -5 b) 5 c) -3 d) -12

Quick Check

Compare using <, =, or >.

a) -6 -3 b) -23 0 c) 17 -18 d) 5 -1a) -6 < -3 b) -23 < 0 c) 17 > -18 d) 5 > -1

e) l-21l 21 f) -14 l14l c) l-1l -5e) l-21l = 21 f) -14 < l14l c) l-1l > -5

Ordering Integers

Order the numbers -8, 7, -4, and 3 from least to greatest. Use a number line to plot the points. Then put them in order from least to greatest.

Remember, numbers increase going from left to right.

-8, -4, 3, and 7

Quick PracticeIn golf, the person with the lowest score is the winner. Rank the players below by ordering their scores from lowest to highest.

Player ScoreB. Hive -12L. Emons -4T. Ricks +10J. Umps -3P. Tree -5

1.B. Hive

2.P. Tree

1.L. Emons

2.J. Umps

3.T. Ricks

l-4l l-3l>

l12l l-12l=

l-20l l10l>

l-14l l-15l<

l-7l 6>

-5 l-4l<

-15 5<

l-13l l12l>

19 l-19l=

l-27l 28<